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Finding the Fourth Proportional to 5,990.76, 8,269.38 and 4,313.16

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Solution

The fourth proportional to 5,990.76, 8,269.38 and 4,313.16 is: 5,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.76 : 8,269.38 = 4,313.16 : x
  2. Step 2: Convert to fraction form
    5,990.76/8,269.38 = 4,313.16/x
  3. Step 3: Cross multiply
    5,990.76x = 8,269.38 × 4,313.16
  4. Step 4: Simplify right side
    5,990.76x = 35,667,159.04
  5. Step 5: Solve for x
    x = 35,667,159.04/5,990.76
  6. Step 6: Final answer
    x = 5,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.